– A specific symbol four times16-reel slot machines 3f632y
1. Case A – the same number of stops and symbol distribution on the reels
1.1 Event – A specific symbol four times
The probability of is given in the following table, where t is the number of stops of a reel and c is the distribution of that symbol on a reel. The values of t are listed in increments of 2, ranging from 20 to 200, and the values of c range from 1 to 7.
Table of values for the probability of a specific symbol occurring four times on a payline
c |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
t |
|||||||
20 |
0.00000625 |
0.0001 |
0.00050625 |
0.0016 |
0.00390625 |
0.0081 |
0.01500625 |
22 |
4.26883E-06 |
6.83013E-05 |
0.000345776 |
0.001092822 |
0.002668021 |
0.005532409 |
0.010249471 |
24 |
3.01408E-06 |
4.82253E-05 |
0.000244141 |
0.000771605 |
0.001883801 |
0.00390625 |
0.00723681 |
26 |
2.1883E-06 |
3.50128E-05 |
0.000177252 |
0.000560204 |
0.001367687 |
0.002836035 |
0.005254105 |
28 |
1.62693E-06 |
2.60308E-05 |
0.000131781 |
0.000416493 |
0.001016829 |
0.002108496 |
0.00390625 |
30 |
1.23457E-06 |
1.97531E-05 |
0.0001 |
0.000316049 |
0.000771605 |
0.0016 |
0.002964198 |
32 |
9.53674E-07 |
1.52588E-05 |
7.72476E-05 |
0.000244141 |
0.000596046 |
0.001235962 |
0.002289772 |
34 |
7.48315E-07 |
1.1973E-05 |
6.06135E-05 |
0.000191569 |
0.000467697 |
0.000969816 |
0.001796704 |
36 |
5.95374E-07 |
9.52599E-06 |
4.82253E-05 |
0.000152416 |
0.000372109 |
0.000771605 |
0.001429493 |
38 |
4.79585E-07 |
7.67336E-06 |
3.88464E-05 |
0.000122774 |
0.000299741 |
0.000621542 |
0.001151484 |
40 |
3.90625E-07 |
0.00000625 |
3.16406E-05 |
0.0001 |
0.000244141 |
0.00050625 |
0.000937891 |
42 |
3.21368E-07 |
5.14189E-06 |
2.60308E-05 |
8.22702E-05 |
0.000200855 |
0.000416493 |
0.000771605 |
44 |
2.66802E-07 |
4.26883E-06 |
2.1611E-05 |
6.83013E-05 |
0.000166751 |
0.000345776 |
0.000640592 |
46 |
2.23341E-07 |
3.57346E-06 |
1.80906E-05 |
5.71753E-05 |
0.000139588 |
0.00028945 |
0.000536242 |
48 |
1.8838E-07 |
3.01408E-06 |
1.52588E-05 |
4.82253E-05 |
0.000117738 |
0.000244141 |
0.000452301 |
50 |
0.00000016 |
0.00000256 |
0.00001296 |
0.00004096 |
0.0001 |
0.00020736 |
0.00038416 |
52 |
1.36769E-07 |
2.1883E-06 |
1.10783E-05 |
3.50128E-05 |
8.54804E-05 |
0.000177252 |
0.000328382 |
54 |
1.17605E-07 |
1.88168E-06 |
9.52599E-06 |
3.01068E-05 |
7.3503E-05 |
0.000152416 |
0.000282369 |
56 |
1.01683E-07 |
1.62693E-06 |
8.23631E-06 |
2.60308E-05 |
6.35518E-05 |
0.000131781 |
0.000244141 |
58 |
8.83666E-08 |
1.41387E-06 |
7.15769E-06 |
2.26218E-05 |
5.52291E-05 |
0.000114523 |
0.000212168 |
60 |
7.71605E-08 |
1.23457E-06 |
0.00000625 |
1.97531E-05 |
4.82253E-05 |
0.0001 |
0.000185262 |
62 |
6.76758E-08 |
1.08281E-06 |
5.48174E-06 |
1.7325E-05 |
4.22974E-05 |
8.77078E-05 |
0.00016249 |
64 |
5.96046E-08 |
9.53674E-07 |
4.82798E-06 |
1.52588E-05 |
3.72529E-05 |
7.72476E-05 |
0.000143111 |
66 |
5.27017E-08 |
8.43226E-07 |
4.26883E-06 |
1.34916E-05 |
3.29385E-05 |
6.83013E-05 |
0.000126537 |
68 |
4.67697E-08 |
7.48315E-07 |
3.78834E-06 |
1.1973E-05 |
2.9231E-05 |
6.06135E-05 |
0.000112294 |
70 |
4.16493E-08 |
6.66389E-07 |
3.37359E-06 |
1.06622E-05 |
2.60308E-05 |
5.39775E-05 |
0.0001 |
72 |
3.72109E-08 |
5.95374E-07 |
3.01408E-06 |
9.52599E-06 |
2.32568E-05 |
4.82253E-05 |
8.93433E-05 |
74 |
3.33483E-08 |
5.33572E-07 |
2.70121E-06 |
8.53715E-06 |
2.08427E-05 |
4.32193E-05 |
8.00692E-05 |
76 |
2.99741E-08 |
4.79585E-07 |
2.4279E-06 |
7.67336E-06 |
1.87338E-05 |
3.88464E-05 |
7.19677E-05 |
78 |
2.7016E-08 |
4.32257E-07 |
2.1883E-06 |
6.9161E-06 |
1.6885E-05 |
3.50128E-05 |
6.48655E-05 |
80 |
2.44141E-08 |
3.90625E-07 |
1.97754E-06 |
0.00000625 |
1.52588E-05 |
3.16406E-05 |
5.86182E-05 |
82 |
2.21179E-08 |
3.53887E-07 |
1.79155E-06 |
5.66219E-06 |
1.38237E-05 |
2.86648E-05 |
5.31052E-05 |
84 |
2.00855E-08 |
3.21368E-07 |
1.62693E-06 |
5.14189E-06 |
1.25534E-05 |
2.60308E-05 |
4.82253E-05 |
86 |
1.82813E-08 |
2.925E-07 |
1.48078E-06 |
4.68E-06 |
1.14258E-05 |
2.36925E-05 |
4.38933E-05 |
88 |
1.66751E-08 |
2.66802E-07 |
1.35069E-06 |
4.26883E-06 |
1.0422E-05 |
2.1611E-05 |
4.0037E-05 |
90 |
1.52416E-08 |
2.43865E-07 |
1.23457E-06 |
3.90184E-06 |
9.52599E-06 |
1.97531E-05 |
3.6595E-05 |
92 |
1.39588E-08 |
2.23341E-07 |
1.13066E-06 |
3.57346E-06 |
8.72426E-06 |
1.80906E-05 |
3.35151E-05 |
94 |
1.28082E-08 |
2.04931E-07 |
1.03747E-06 |
3.2789E-06 |
8.00513E-06 |
1.65994E-05 |
3.07525E-05 |
96 |
1.17738E-08 |
1.8838E-07 |
9.53674E-07 |
3.01408E-06 |
7.3586E-06 |
1.52588E-05 |
2.82688E-05 |
98 |
1.08417E-08 |
1.73467E-07 |
8.78174E-07 |
2.77546E-06 |
6.77604E-06 |
1.40508E-05 |
2.60308E-05 |
100 |
0.00000001 |
0.00000016 |
0.00000081 |
0.00000256 |
0.00000625 |
0.00001296 |
0.00002401 |
102 |
9.23845E-09 |
1.47815E-07 |
7.48315E-07 |
2.36504E-06 |
5.77403E-06 |
1.1973E-05 |
2.21815E-05 |
104 |
8.54804E-09 |
1.36769E-07 |
6.92391E-07 |
2.1883E-06 |
5.34253E-06 |
1.10783E-05 |
2.05238E-05 |
106 |
7.92094E-09 |
1.26735E-07 |
6.41596E-07 |
2.02776E-06 |
4.95059E-06 |
1.02655E-05 |
1.90182E-05 |
108 |
7.3503E-09 |
1.17605E-07 |
5.95374E-07 |
1.88168E-06 |
4.59394E-06 |
9.52599E-06 |
1.76481E-05 |
110 |
6.83013E-09 |
1.09282E-07 |
5.53241E-07 |
1.74851E-06 |
4.26883E-06 |
8.85185E-06 |
1.63992E-05 |
112 |
6.35518E-09 |
1.01683E-07 |
5.1477E-07 |
1.62693E-06 |
3.97199E-06 |
8.23631E-06 |
1.52588E-05 |
114 |
5.9208E-09 |
9.47328E-08 |
4.79585E-07 |
1.51573E-06 |
3.7005E-06 |
7.67336E-06 |
1.42158E-05 |
116 |
5.52291E-09 |
8.83666E-08 |
4.47356E-07 |
1.41387E-06 |
3.45182E-06 |
7.15769E-06 |
1.32605E-05 |
118 |
5.15789E-09 |
8.25262E-08 |
4.17789E-07 |
1.32042E-06 |
3.22368E-06 |
6.68462E-06 |
1.23841E-05 |
120 |
4.82253E-09 |
7.71605E-08 |
3.90625E-07 |
1.23457E-06 |
3.01408E-06 |
0.00000625 |
1.15789E-05 |
122 |
4.51399E-09 |
7.22239E-08 |
3.65633E-07 |
1.15558E-06 |
2.82124E-06 |
5.85013E-06 |
1.08381E-05 |
124 |
4.22974E-09 |
6.76758E-08 |
3.42609E-07 |
1.08281E-06 |
2.64358E-06 |
5.48174E-06 |
1.01556E-05 |
126 |
3.96751E-09 |
6.34801E-08 |
3.21368E-07 |
1.01568E-06 |
2.47969E-06 |
5.14189E-06 |
9.52599E-06 |
128 |
3.72529E-09 |
5.96046E-08 |
3.01749E-07 |
9.53674E-07 |
2.32831E-06 |
4.82798E-06 |
8.94442E-06 |
130 |
3.50128E-09 |
5.60204E-08 |
2.83604E-07 |
8.96327E-07 |
2.1883E-06 |
4.53766E-06 |
8.40657E-06 |
132 |
3.29385E-09 |
5.27017E-08 |
2.66802E-07 |
8.43226E-07 |
2.05866E-06 |
4.26883E-06 |
7.90854E-06 |
134 |
3.10156E-09 |
4.9625E-08 |
2.51227E-07 |
7.94E-07 |
1.93848E-06 |
4.01963E-06 |
7.44686E-06 |
136 |
2.9231E-09 |
4.67697E-08 |
2.36771E-07 |
7.48315E-07 |
1.82694E-06 |
3.78834E-06 |
7.01837E-06 |
138 |
2.7573E-09 |
4.41168E-08 |
2.23341E-07 |
7.05868E-07 |
1.72331E-06 |
3.57346E-06 |
6.62027E-06 |
140 |
2.60308E-09 |
4.16493E-08 |
2.1085E-07 |
6.66389E-07 |
1.62693E-06 |
3.37359E-06 |
0.00000625 |
142 |
2.4595E-09 |
3.9352E-08 |
1.99219E-07 |
6.29632E-07 |
1.53719E-06 |
3.18751E-06 |
5.90526E-06 |
144 |
2.32568E-09 |
3.72109E-08 |
1.8838E-07 |
5.95374E-07 |
1.45355E-06 |
3.01408E-06 |
5.58396E-06 |
148 |
2.08427E-09 |
3.33483E-08 |
1.68826E-07 |
5.33572E-07 |
1.30267E-06 |
2.70121E-06 |
5.00432E-06 |
150 |
1.97531E-09 |
3.16049E-08 |
0.00000016 |
5.05679E-07 |
1.23457E-06 |
0.00000256 |
4.74272E-06 |
152 |
1.87338E-09 |
2.99741E-08 |
1.51744E-07 |
4.79585E-07 |
1.17086E-06 |
2.4279E-06 |
4.49798E-06 |
154 |
1.77794E-09 |
2.8447E-08 |
1.44013E-07 |
4.55153E-07 |
1.11121E-06 |
2.30421E-06 |
4.26883E-06 |
156 |
1.6885E-09 |
2.7016E-08 |
1.36769E-07 |
4.32257E-07 |
1.05531E-06 |
2.1883E-06 |
4.05409E-06 |
158 |
1.60462E-09 |
2.56739E-08 |
1.29974E-07 |
4.10782E-07 |
1.00289E-06 |
2.07958E-06 |
3.85269E-06 |
160 |
1.52588E-09 |
2.44141E-08 |
1.23596E-07 |
3.90625E-07 |
9.53674E-07 |
1.97754E-06 |
3.66364E-06 |
162 |
1.45191E-09 |
2.32306E-08 |
1.17605E-07 |
3.71689E-07 |
9.07444E-07 |
1.88168E-06 |
3.48604E-06 |
164 |
1.38237E-09 |
2.21179E-08 |
1.11972E-07 |
3.53887E-07 |
8.63982E-07 |
1.79155E-06 |
3.31907E-06 |
166 |
1.31695E-09 |
2.10711E-08 |
1.06673E-07 |
3.37138E-07 |
8.23091E-07 |
1.70676E-06 |
3.16199E-06 |
168 |
1.25534E-09 |
2.00855E-08 |
1.01683E-07 |
3.21368E-07 |
7.8459E-07 |
1.62693E-06 |
3.01408E-06 |
170 |
1.1973E-09 |
1.91569E-08 |
9.69816E-08 |
3.0651E-07 |
7.48315E-07 |
1.55171E-06 |
2.87473E-06 |
172 |
1.14258E-09 |
1.82813E-08 |
9.25489E-08 |
2.925E-07 |
7.14112E-07 |
1.48078E-06 |
2.74333E-06 |
174 |
1.09095E-09 |
1.74551E-08 |
8.83666E-08 |
2.79282E-07 |
6.81841E-07 |
1.41387E-06 |
2.61936E-06 |
176 |
1.0422E-09 |
1.66751E-08 |
8.44179E-08 |
2.66802E-07 |
6.51372E-07 |
1.35069E-06 |
2.50231E-06 |
178 |
9.96139E-10 |
1.59382E-08 |
8.06873E-08 |
2.55012E-07 |
6.22587E-07 |
1.291E-06 |
2.39173E-06 |
180 |
9.52599E-10 |
1.52416E-08 |
7.71605E-08 |
2.43865E-07 |
5.95374E-07 |
1.23457E-06 |
2.28719E-06 |
182 |
9.11411E-10 |
1.45826E-08 |
7.38243E-08 |
2.33321E-07 |
5.69632E-07 |
1.18119E-06 |
2.1883E-06 |
184 |
8.72426E-10 |
1.39588E-08 |
7.06665E-08 |
2.23341E-07 |
5.45266E-07 |
1.13066E-06 |
2.0947E-06 |
186 |
8.35503E-10 |
1.33681E-08 |
6.76758E-08 |
2.13889E-07 |
5.2219E-07 |
1.08281E-06 |
2.00604E-06 |
188 |
8.00513E-10 |
1.28082E-08 |
6.48416E-08 |
2.04931E-07 |
5.00321E-07 |
1.03747E-06 |
1.92203E-06 |
190 |
7.67336E-10 |
1.22774E-08 |
6.21542E-08 |
1.96438E-07 |
4.79585E-07 |
9.94468E-07 |
1.84237E-06 |
192 |
7.3586E-10 |
1.17738E-08 |
5.96046E-08 |
1.8838E-07 |
4.59912E-07 |
9.53674E-07 |
1.7668E-06 |
194 |
7.05981E-10 |
1.12957E-08 |
5.71845E-08 |
1.80731E-07 |
4.41238E-07 |
9.14952E-07 |
1.69506E-06 |
196 |
6.77604E-10 |
1.08417E-08 |
5.48859E-08 |
1.73467E-07 |
4.23502E-07 |
8.78174E-07 |
1.62693E-06 |
198 |
6.50638E-10 |
1.04102E-08 |
5.27017E-08 |
1.66563E-07 |
4.06649E-07 |
8.43226E-07 |
1.56218E-06 |
200 |
6.25E-10 |
0.00000001 |
5.0625E-08 |
0.00000016 |
3.90625E-07 |
0.00000081 |
1.50063E-06 |